Ch. 3 Flashcard

Front

Determine the values of a, b, and c for 4x² – 8x - 3 = 0

Back

a = 4, b = -8, c = -3

Front

What is the formula for the discriminant in a quadratic equation?

Back

b² - 4ac

Front

What are the green dots called in a parabola?

Back

roots or x-intercepts

Front

Find the zeroes of the equation x² + 2x - 15 = 0

Back

x = -5, x = 3

Front

Simplify and write in Standard Form: (11 - 7i) - (12i - 3)

Back

14 - 19i

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a) where a and b are coefficients from ax² + bx + c.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots (real and distinct, real and equal, or complex).

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)